3116131200 has 1152 divisors, whose sum is σ = 14502196800. Its totient is φ = 619315200.

The previous prime is 3116131189. The next prime is 3116131223. The reversal of 3116131200 is 21316113.

3116131200 is a `hidden beast` number, since 31 + 1 + 613 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3116131200² = 19420547311226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76003180 + ... + 76003220.

Almost surely, 2^3116131200 is an apocalyptic number.

3116131200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251098400).

3116131200 is an abundant number, since it is smaller than the sum of its proper divisors (11386065600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3116131200 is a wasteful number, since it uses less digits than its factorization.

3116131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3116131200 is about 55822.3181173982. The cubic root of 3116131200 is about 1460.6244904622.

Adding to 3116131200 its reverse (21316113), we get a palindrome (3137447313).

The spelling of 3116131200 in words is "three billion, one hundred sixteen million, one hundred thirty-one thousand, two hundred".